Artículos de revistas
Global attractor and omega-limit sets structure for a phase-field model of thermal alloys
Registro en:
Nonlinear Analysis-real World Applications. Pergamon-elsevier Science Ltd, v. 13, n. 4, n. 1676, n. 1691, 2012.
1468-1218
WOS:000301008300012
10.1016/j.nonrwa.2011.11.024
Autor
Marin-Rubio, P
Planas, G
Institución
Resumen
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with Dirichlet boundary conditions. After that, the existence of global attractors for the associated multi-valued dynamical systems is proved, and the relationship among these sets is established. Finally, we provide a more detailed description of the asymptotic behaviour of solutions via the omega-limit sets. Namely, we obtain a characterization - through the natural stationary system associated to the model - of the elements belonging to the omega-limit sets under suitable assumptions. (C) 2011 Elsevier Ltd. All rights reserved. 13 4 1676 1691 Ministerio de Educacion y Ciencia (MEC, Spain) [MTM2008-00888] Junta de Andalucia [P07-FQM-02468] Ministerio de Educacion-DGPU (Spain) [PHB2010-0002-PC] Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAEPEX-Brazil [964/08] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Ministerio de Educacion y Ciencia (MEC, Spain) [MTM2008-00888] Junta de Andalucia [P07-FQM-02468] Ministerio de Educacion-DGPU (Spain) [PHB2010-0002-PC] CAPES [238/11] CNPq [303302/2009-7] FAEPEX-Brazil [964/08] FAPESP [2008/09342-3]